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Sandeep sold a television at a loss of8 % . If Sandeep had sold it for Rs 3360 more, he would have earned a profit of 6%. What would have been the cost at which Sandeep bought it?

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answer is A.

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Detailed Solution

Given that, Sandeep sold a television at a loss of 8 % . If Sandeep had sold it for Rs 3360 more, he would have earned a profit of 6%.
We have the following formula:
Gain=S.P-C.P
S.P=selling price & C.P=cost price.

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

Let the C.P of the television be ‘a’.
Therefore, S.P of the television at a loss of 8% is,

L o s s % = C . P − S . P C . P × 100

The S.P of television at a gain of 6% is,

= 100 + 6 100 × a = 106100 a

The C.P of television is,

⇒ 106100 x − 91100 x = 3360 ⇒ 15 x 100 = 3360 ⇒ x = 3360 × 100 15 ⇒ x = 24000

The C.P of television isRs 24000.
Therefore, the correct option is 1.

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